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Finding the Fourth Proportional to 312,371.30, 468,486.75 and 143,729.84

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Solution

The fourth proportional to 312,371.30, 468,486.75 and 143,729.84 is: 215,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,371.30 : 468,486.75 = 143,729.84 : x
  2. Step 2: Convert to fraction form
    312,371.30/468,486.75 = 143,729.84/x
  3. Step 3: Cross multiply
    312,371.30x = 468,486.75 × 143,729.84
  4. Step 4: Simplify right side
    312,371.30x = 67,335,525,619.62
  5. Step 5: Solve for x
    x = 67,335,525,619.62/312,371.30
  6. Step 6: Final answer
    x = 215,562.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.